Weyl function for sum of operators tensor products
Abstract
The boundary triplets approach is applied to the construction of self-adjoint extensions of the operator having the form S = A⊗IT + IA⊗T where the operator A is symmetric and the operator T is bounded and self-adjoint. The formula for the γ-field and the Weyl function corresponding the the boundary triplet ΠS is obtained in terms of the γ-field and the Weyl function corresponding to the boundary triplet ΠA.
Supporting agencies: Supported by Federal Targeted Program ”Scientific and Educational Human Resources for Innovation-Driven Russia” (contract 16.740.11.0030), grant 11-08-00267 of Russian Foundation for Basic Researches and grants of the President of Russia (state contract 14.124.13.2045-MK and grant MK-1493.2013.1), by Program of Development of Leading Russian Universities. A part of this work was made during visits of IYP and AAB to Berlin. We thank WIAS Berlin for kind hospitality.
About the Authors
A. A. Boitsev
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics
Russian Federation
Russian Federation
49, Kronverkskiy, Saint Petersburg, 197101.
H. Neidhardt
Weierstrass Institute for Applied Analysis and Stochastic
Germany
Germany
Berlin.
I. Yu. Popov
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics
Russian Federation
Russian Federation
49, Kronverkskiy, Saint Petersburg, 197101.
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Review
For citations:
Boitsev A.A., Neidhardt H., Popov I.Yu. Weyl function for sum of operators tensor products. Nanosystems: Physics, Chemistry, Mathematics. 2013;4(6):747-759.
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